Organodynamics

Grant Holland, Apr 25, 2014

Slide: Organodynamic Sample Space

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Organodynamic State Space

 

Consider the set of all possible organizations OTRS of S.

 

(Recall, each organization of S is one of the extended topologies that we defined earlier.)

 

This set is called the organodynamic state space of S.

 

 

Organodynamics Sample Space (OSS)

 

We can turn this into a sample space by assigning probabilities to each organization OSi in the organodynamics state space of S.

 

Thus, the OSS on S is the organodynamic state space, plus probability assignments for all the states.

 

This is a very large sample space, though finite.

 

Organodynamic Probability Space (OPS)

 

An organodynamic probability space (OPS) is a probability space whose finite sample space is the set of all possible organizations of an underlying set S.

 

The sample space ½ = some OSS of OTRS.

The events F = a sigma-algebra of the OTRS in ½.

The probabilities ρ = probabilities assigned to the OTRS in ½.

 

 

 

Notes: